20385610726824 has 288 divisors, whose sum is σ = 67695665637600. Its totient is φ = 5728975620480.

The previous prime is 20385610726781. The next prime is 20385610726829. The reversal of 20385610726824 is 42862701658302.

20385610726824 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 561 + 0 + 72 + 6 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20385610726829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4056447 + ... + 7564785.

It is an arithmetic number, because the mean of its divisors is an integer number (235054394575).

Almost surely, 2^{20385610726824} is an apocalyptic number.

20385610726824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20385610726824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33847832818800).

20385610726824 is an abundant number, since it is smaller than the sum of its proper divisors (47310054910776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20385610726824 is a wasteful number, since it uses less digits than its factorization.

20385610726824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508435 (or 3508412 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 20385610726824 in words is "twenty trillion, three hundred eighty-five billion, six hundred ten million, seven hundred twenty-six thousand, eight hundred twenty-four".